{
  "id": "1812.11880",
  "version": "v1",
  "published": "2018-12-31T16:21:14.000Z",
  "updated": "2018-12-31T16:21:14.000Z",
  "title": "On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s",
  "authors": [
    "T. Hilberdink",
    "E. Saias"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Our main result is to answer a question of Michel Balazard by giving a Dirichlet series with only one zero in its half-plane of convergence. At the end of the paper we also give several sufficient conditions for the Generalized Riemann Hypothesis and ask if any of them are true.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-31T16:21:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41",
      "11M06",
      "11M26"
    ],
    "keywords": [
      "main result",
      "michel balazard",
      "dirichlet series",
      "sufficient conditions",
      "generalized riemann hypothesis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}